Finding the Fourth Proportional to 5,278.50, 7,918.56 and 3,828.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,278.50 : 7,918.56 = 3,828.60 : x
2. Step 2: Convert to fraction form
   5,278.50/7,918.56 = 3,828.60/x
3. Step 3: Cross multiply
   5,278.50x = 7,918.56 × 3,828.60
4. Step 4: Simplify right side
   5,278.50x = 30,316,998.82
5. Step 5: Solve for x
   x = 30,316,998.82/5,278.50
6. Step 6: Final answer
   x = 5,743.49